In the early 1920s, Niels Bohr was struggling to reimagine the structure of matter. Previous generations of physicists had thought the inner space of an atom looked like a miniature solar system with the atomic nucleus as the sun and the whirring electrons as planets in orbit. This was the classical model.

But Bohr had spent time analyzing the radiation emitted by electrons, and he realized that science needed a new metaphor. The behavior of electrons seemed to defy every conventional explanation. As Bohr said, “When it comes to atoms, language can be used only as in poetry.” Ordinary words couldn’t capture the data.

Bohr had long been fascinated by cubist paintings. As the intellectual historian Arthur Miller notes, he later filled his study with abstract still lifes and enjoyed explaining his interpretation of the art to visitors. For Bohr, the allure of cubism was that it shattered the certainty of the object. The art revealed the fissures in everything, turning the solidity of matter into a surreal blur.

Bohr’s discerning conviction was that the invisible world of the electron was essentially a cubist world. By 1923, de Broglie had already determined that electrons could exist as either particles or waves. What Bohr maintained was that the form they took depended on how you looked at them. Their very nature was a consequence of our observation. This meant that electrons weren’t like little planets at all. Instead, they were like one of Picasso’s deconstructed guitars, a blur of brushstrokes that only made sense once you stared at it. The art that looked so strange was actually telling the truth.

It’s hard to believe that a work of abstract art might have actually affected the history of science. Cubism seems to have nothing in common with modern physics. When we think about the scientific process, a specific vocabulary comes to mind: objectivity, experiments, facts. In the passive tense of the scientific paper, we imagine a perfect reflection of the real world. Paintings can be profound, but they are always pretend.

This view of science as the sole mediator of everything depends upon one unstated assumption: While art cycles with the fashions, scientific knowledge is a linear ascent. The history of science is supposed to obey a simple equation: Time plus data equals understanding. One day, we believe, science will solve everything.

But the trajectory of science has proven to be a little more complicated. The more we know about reality—about its quantum mechanics and neural origins—the more palpable its paradoxes become. As Vladimir Nabokov, the novelist and lepidopterist, once put it, “The greater one’s science, the deeper the sense of mystery.”

Consider, for example, the history of physics. Once upon a time, and more than once, physicists thought they had the universe solved. Some obscure details remained, but the basic structure of the cosmos was understood. Out of this naïveté, relativity theory emerged, fundamentally altering classical notions about the relationship of time and space. Then came Heisenberg’s uncertainty principle and the surreal revelations of quantum physics. String theorists, in their attempts to reconcile ever widening theoretical gaps, started talking about eleven dimensions. Dark matter still makes no sense. Modern physics knows so much more about the universe, but there is still so much it doesn’t understand. For the first time, some scientists are openly wondering if we, in fact, are incapable of figuring out the cosmos.